Precalculus Examples

$\log_{8} (\frac{8 π}{3 k})$

Step 1

Rewrite $\log_{8} (\frac{8 π}{3 k})$ as $\log_{8} (8 π) - \log_{8} (3 k)$ .

$\log_{8} (8 π) - \log_{8} (3 k)$

Step 2

Rewrite $\log_{8} (8 π)$ as $\log_{8} (8) + \log_{8} (π)$ .

$\log_{8} (8) + \log_{8} (π) - \log_{8} (3 k)$

Step 3

Logarithm base $8$ of $8$ is $1$ .

$1 + \log_{8} (π) - \log_{8} (3 k)$

Step 4

Rewrite $\log_{8} (3 k)$ as $\log_{8} (3) + \log_{8} (k)$ .

$1 + \log_{8} (π) - (\log_{8} (3) + \log_{8} (k))$

Step 5

Apply the distributive property.

$1 + \log_{8} (π) - \log_{8} (3) - \log_{8} (k)$